Empirical Discovery of Causal Phase Transitions and the Ait Zaouit Scaling Law on the 133-Qubit IBM Torino Processor

The Description / Abstract: "This dataset and pre-print report the empirical discovery of a stabilizing scaling law—the Ait Zaouit Scaling Law—observed during high-depth quantum circuit executions on the 133-qubit IBM Torino processor (Eagle architecture). While traditional quantum systems suffer from linear or exponential decoherence as circuit depth increases, our experimental results reveal a non-linear Causal Phase Transition at a critical depth threshold (D=10). At this point, the quantum system enters a self-stabilizing regime where temporal variance drops significantly, suggesting the emergence of a robust 'Causal Fabric'. This discovery provides a new framework for understanding stability in Noisy Intermediate-Scale Quantum (NISQ) devices and offers a predictive model for scaling quantum algorithms beyond current decoherence limits. The provided figures include the IBM Torino configuration, heatmaps of the variance transition, and the graphical evidence of the scaling effect."